A star polyhedron is a nonconvex polyhedron which contains an arrangement of symmetrically (nor nearly symmetrically) arranged spikes giving it the visual appearance of a three-dimensional
star. Star polyhedra can be constructed from concave polyhedra via stellation
or augmentation.
Conway, J. H.; Burgiel, H.; and Goodman-Strass, C. "Regular Star-Polytopes Dimension 3." Ch. 26 in The
Symmetries of Things. Natick, MA: A K Peters, p. 404, 2008.Tarnai,
T.; Krähling, J.; and Kabai, S. "Star Polyhedra: from St Mark's Basilica
in Venice to Hungarian Protestant Churches." Paper ID209 in Proc. of the
IASS 2007, Shell and Spatial Structures: Structural Architecture-Towards the Future
Looking to the Past. Venice, Italy: University of IUAV, 2007. http://www.employees.csbsju.edu/mwenninger/seteight/PAP209tarnai.pdf.Tarnai,
T.; Krähling, J.; and Kabai, S. "Star Polyhedra on Hungarian Protestant
Churches." In Proc. of the 13th International Conference on Geometry and
Graphics (Ed. G. Weiss). Dresden, Germany: Technical University of Dresden,
Germany, 2008.